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Finding the Fourth Proportional to 204,537.60, 306,806.40 and 186,822.90

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Solution

The fourth proportional to 204,537.60, 306,806.40 and 186,822.90 is: 280,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,537.60 : 306,806.40 = 186,822.90 : x
  2. Step 2: Convert to fraction form
    204,537.60/306,806.40 = 186,822.90/x
  3. Step 3: Cross multiply
    204,537.60x = 306,806.40 × 186,822.90
  4. Step 4: Simplify right side
    204,537.60x = 57,318,461,386.56
  5. Step 5: Solve for x
    x = 57,318,461,386.56/204,537.60
  6. Step 6: Final answer
    x = 280,234.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.